A homological characterization of Krull domains II. Issue 5 (4th May 2019)

• Record Type: Journal Article
• Authors: Wang, Fanggui; Qiao, Lei
• Is Part Of: Communications in algebra. Volume 47:Issue 5(2019)
• Page Start: 1917
• Page End: 1929
• Publication Date: 2019-05-04
• Subjects: Krull domain -- strong w-module -- weak w-projective module -- weak w-projective dimension -- global weak w-projective dimension; 13F05 -- 13D07 -- 13D05 -- 13D30; Algebra -- Periodicals; 512.005
• DOI: 10.1080/00927872.2018.1524007
• Languages: English
• ISSNs: 0092-7872

Abstract

Abstract: In this article, we introduce a new type of projective modules, called the weak w -projective module. By using this type of modules, we give a homological characterization of Krull domains. More precisely, it is shown that an integral domain is a Krull domain if and only if every submodule of a projective module is weak w -projective.